An eccentrically perturbed Tonks-Girardeau gas

Abstract

We investigate the static and dynamic properties of a Tonks-Girardeau gas in a harmonic trap with an eccentric $\delta$-perturbation of variable strength. For this we first find the analytic eigensolution of the single particle problem and use this solution to calculate the spatial density and energy profiles of the many particle gas as a function of the strength and position of the perturbation. We find that the crystal nature of the Tonks state is reflected in both the lowest occupation number and momentum distribution of the gas. As a novel application of our model, we study the time evolution of the the spatial density after a sudden removal of the perturbation. The dynamics exhibits collapses and revivals of the original density distribution which occur in units of the trap frequency. This is reminiscent of the Talbot effect from classical optics.

Comments and suggestions are welcome

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Quantum transport through a Tonks-Girardeau gas
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Momentum distribution for a one-dimensional trapped gas of hard-core bosons
• Ion induced density bubble in a strongly correlated one dimensional gas
• Boson Pairs in a One-dimensional Split Trap
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
• Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons
• Controlled collisions of two ultracold atoms in separate harmonic traps
• Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential
• Hard-core Bose-Fermi mixture in one-dimensional split traps
• A Tonks Giradeau Gas in the Presence of a Local Potential

Cited by in corpus (14)

• One-dimensional mixtures of several ultracold atoms: a review
• Quenching small quantum gases: Genesis of the orthogonality catastrophe
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
• Quantum gas mixtures in different correlation regimes
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Motion of a distinguishable impurity in the Bose gas: Arrested expansion without a lattice and impurity snaking
• Non-locality of Two Ultracold Trapped Atoms
• Impurities in systems of noninteracting trapped fermions
• Dipole mode of a strongly correlated one-dimensional Bose gas in a split trap: parity effect and barrier renormalization
• Coherent Impurity Transport in an Attractive Binary Bose-Einstein condensate
• A Parabolic Model for the Dimple Potentials
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Quantum reactive scattering in the long-range ion-dipole potential